Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
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1602 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_8q_1\tilde{q}_2$ | 0.7038 | 0.8701 | 0.8089 | [X:[], M:[1.0, 1.165, 0.9223, 1.0, 0.7476, 0.6699, 1.2524, 0.6699], q:[0.7913, 0.5388], qb:[0.4612, 0.5388], phi:[0.4175]] | [X:[], M:[[7, 1], [-4, 0], [14, 0], [-7, -1], [-6, 0], [15, 1], [6, 0], [1, -1]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_8$, $ M_6$, $ M_3$, $ M_4$, $ M_1$, $ M_2$, $ M_7$, $ M_6M_8$, $ \phi_1\tilde{q}_1^2$, $ M_8^2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_8$, $ M_3M_6$, $ M_4M_6$, $ M_1M_8$, $ M_4M_8$, $ M_1M_6$, $ M_2M_8$, $ M_2M_6$, $ M_3^2$, $ M_3M_4$, $ M_7M_8$, $ M_1M_3$, $ M_6M_7$ | $M_1^2$, $ M_4^2$ | -2 | 2*t^2.01 + t^2.77 + 2*t^3. + t^3.5 + t^3.76 + 4*t^4.02 + 2*t^4.25 + 3*t^4.49 + 2*t^4.78 + 4*t^5.01 + 2*t^5.5 + t^5.53 + 2*t^5.77 - 2*t^6. + 6*t^6.03 - 2*t^6.23 + 4*t^6.26 + 6*t^6.5 + t^6.52 + 4*t^6.79 - t^6.99 + 8*t^7.02 + 3*t^7.25 + 2*t^7.49 + 4*t^7.51 + 2*t^7.54 + 4*t^7.78 - 4*t^8.01 + 9*t^8.04 - 5*t^8.24 + 8*t^8.27 + t^8.3 - 2*t^8.48 + 11*t^8.5 + 2*t^8.53 + 2*t^8.74 - 3*t^8.77 + 6*t^8.8 + 5*t^8.97 - t^4.25/y - (2*t^6.26)/y + t^7.49/y + (2*t^7.78)/y + (4*t^8.01)/y + (2*t^8.24)/y - (3*t^8.27)/y + (2*t^8.5)/y + (4*t^8.77)/y - t^4.25*y - 2*t^6.26*y + t^7.49*y + 2*t^7.78*y + 4*t^8.01*y + 2*t^8.24*y - 3*t^8.27*y + 2*t^8.5*y + 4*t^8.77*y | (g1*t^2.01)/g2 + g1^15*g2*t^2.01 + g1^14*t^2.77 + t^3./(g1^7*g2) + g1^7*g2*t^3. + t^3.5/g1^4 + g1^6*t^3.76 + 2*g1^16*t^4.02 + (g1^2*t^4.02)/g2^2 + g1^30*g2^2*t^4.02 + t^4.25/(g1^5*g2) + g1^9*g2*t^4.25 + t^4.49/g1^12 + t^4.49/(g1^26*g2^2) + g1^2*g2^2*t^4.49 + (g1^15*t^4.78)/g2 + g1^29*g2*t^4.78 + 2*g1^8*t^5.01 + t^5.01/(g1^6*g2^2) + g1^22*g2^2*t^5.01 + t^5.5/(g1^3*g2) + g1^11*g2*t^5.5 + g1^28*t^5.53 + (g1^7*t^5.77)/g2 + g1^21*g2*t^5.77 - 2*t^6. + (g1^3*t^6.03)/g2^3 + (2*g1^17*t^6.03)/g2 + 2*g1^31*g2*t^6.03 + g1^45*g2^3*t^6.03 - t^6.23/(g1^21*g2) - (g2*t^6.23)/g1^7 + 2*g1^10*t^6.26 + t^6.26/(g1^4*g2^2) + g1^24*g2^2*t^6.26 + t^6.5/(g1^25*g2^3) + (2*t^6.5)/(g1^11*g2) + 2*g1^3*g2*t^6.5 + g1^17*g2^3*t^6.5 + g1^20*t^6.52 + 2*g1^30*t^6.79 + (g1^16*t^6.79)/g2^2 + g1^44*g2^2*t^6.79 - t^6.99/g1^8 + t^7.02/(g1^5*g2^3) + (3*g1^9*t^7.02)/g2 + 3*g1^23*g2*t^7.02 + g1^37*g2^3*t^7.02 + g1^2*t^7.25 + t^7.25/(g1^12*g2^2) + g1^16*g2^2*t^7.25 + t^7.49/(g1^33*g2^3) + g1^9*g2^3*t^7.49 + 2*g1^12*t^7.51 + t^7.51/(g1^2*g2^2) + g1^26*g2^2*t^7.51 + (g1^29*t^7.54)/g2 + g1^43*g2*t^7.54 + 2*g1^22*t^7.78 + (g1^8*t^7.78)/g2^2 + g1^36*g2^2*t^7.78 - (2*g1*t^8.01)/g2 - 2*g1^15*g2*t^8.01 + 3*g1^32*t^8.04 + (g1^4*t^8.04)/g2^4 + (2*g1^18*t^8.04)/g2^2 + 2*g1^46*g2^2*t^8.04 + g1^60*g2^4*t^8.04 - (3*t^8.24)/g1^6 - t^8.24/(g1^20*g2^2) - g1^8*g2^2*t^8.24 + t^8.27/(g1^3*g2^3) + (3*g1^11*t^8.27)/g2 + 3*g1^25*g2*t^8.27 + g1^39*g2^3*t^8.27 + g1^42*t^8.3 - t^8.48/(g1^27*g2) - (g2*t^8.48)/g1^13 + 3*g1^4*t^8.5 + t^8.5/(g1^24*g2^4) + (3*t^8.5)/(g1^10*g2^2) + 3*g1^18*g2^2*t^8.5 + g1^32*g2^4*t^8.5 + (g1^21*t^8.53)/g2 + g1^35*g2*t^8.53 + t^8.74/(g1^31*g2^3) + g1^11*g2^3*t^8.74 - 3*g1^14*t^8.77 + (g1^17*t^8.8)/g2^3 + (2*g1^31*t^8.8)/g2 + 2*g1^45*g2*t^8.8 + g1^59*g2^3*t^8.8 + t^8.97/g1^24 + t^8.97/(g1^52*g2^4) + t^8.97/(g1^38*g2^2) + (g2^2*t^8.97)/g1^10 + g1^4*g2^4*t^8.97 - (g1^2*t^4.25)/y - (g1^3*t^6.26)/(g2*y) - (g1^17*g2*t^6.26)/y + t^7.49/(g1^12*y) + (g1^15*t^7.78)/(g2*y) + (g1^29*g2*t^7.78)/y + (2*g1^8*t^8.01)/y + t^8.01/(g1^6*g2^2*y) + (g1^22*g2^2*t^8.01)/y + t^8.24/(g1^13*g2*y) + (g1*g2*t^8.24)/y - (g1^18*t^8.27)/y - (g1^4*t^8.27)/(g2^2*y) - (g1^32*g2^2*t^8.27)/y + t^8.5/(g1^3*g2*y) + (g1^11*g2*t^8.5)/y + (2*g1^7*t^8.77)/(g2*y) + (2*g1^21*g2*t^8.77)/y - g1^2*t^4.25*y - (g1^3*t^6.26*y)/g2 - g1^17*g2*t^6.26*y + (t^7.49*y)/g1^12 + (g1^15*t^7.78*y)/g2 + g1^29*g2*t^7.78*y + 2*g1^8*t^8.01*y + (t^8.01*y)/(g1^6*g2^2) + g1^22*g2^2*t^8.01*y + (t^8.24*y)/(g1^13*g2) + g1*g2*t^8.24*y - g1^18*t^8.27*y - (g1^4*t^8.27*y)/g2^2 - g1^32*g2^2*t^8.27*y + (t^8.5*y)/(g1^3*g2) + g1^11*g2*t^8.5*y + (2*g1^7*t^8.77*y)/g2 + 2*g1^21*g2*t^8.77*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
1026 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ | 0.683 | 0.8286 | 0.8242 | [X:[], M:[0.9994, 1.1648, 0.9231, 1.0006, 0.7472, 0.6698, 1.2528], q:[0.7912, 0.539], qb:[0.4615, 0.5379], phi:[0.4176]] | t^2.01 + t^2.77 + 2*t^3. + t^3.49 + t^3.76 + t^3.99 + 2*t^4.02 + 2*t^4.25 + 2*t^4.48 + t^4.49 + t^4.78 + 2*t^5.01 + t^5.5 + t^5.54 + t^5.77 - t^6. - t^4.25/y - t^4.25*y | detail |